lean2/tests/lean/simp18.lean.expected.out
Leonardo de Moura dbc100cc2e feat(library/simplifier): cast elimination in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 17:28:14 -08:00

21 lines
811 B
Text

Set: pp::colors
Set: pp::unicode
Imported 'cast'
Assumed: vec
Assumed: concat
Assumed: concat_assoc
Assumed: empty
Assumed: concat_empty
Assumed: n
Assumed: v
Assumed: w
v ; w ; empty ; (v ; empty)
===>
v ; (w ; v)
htrans (htrans (hcongr (hcongr (hcongr (hcongr (hrefl @concat) (to_heq (Nat::add_zeror (n + n))))
(to_heq (Nat::add_zeror n)))
(htrans (to_heq (concat_empty (v ; w)))
(cast_heq (congr2 vec (symm (Nat::add_zeror (n + n)))) (v ; w))))
(htrans (to_heq (concat_empty v)) (cast_heq (congr2 vec (symm (Nat::add_zeror n))) v)))
(to_heq (concat_assoc v w v)))
(cast_heq (congr2 vec (symm (Nat::add_assoc n n n))) (v ; (w ; v)))